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1、Chin.Phys.BVol.26,No.1(2017)017302DiffractionpropertiesofbinarygraphenesheetarraysYangFan(樊洋)†,CongChen(陈聪),andDing-GuoLi(李定国)CollegeofScience,NavalUniversityofEngineering,Wuhan430033,China(Received20July2016;revisedmanuscriptreceived11October2016;publishedonline22December2016)Wetheoreticallya
2、ndnumericallyinvestigatethediffractionpropertiesofsurfaceplasmonpolariton(SPP)inbinarygraphenesheetarrays.ThesingleSPPbandsplitsintotwominibandsbyalternativelyarrangingthegraphenewaveguideswithtwodifferentchemicalpotentials.NumericalsimulationsshowthatSPPbeamsinthearraysplitintotwodifferentpath
3、sduetothedifferentdiffractionrelation.Keywords:surfaceplasmons,waveguides,graphenePACS:73.20.Mf,42.82.Et,81.05.ueDOI:10.1088/1674-1056/26/1/0173021.Introductiontrixmethod(TMM)[11–13]andcoupled-modetheory(CMT).Furthermore,numericalsimulationsareperformedtoassessThemanipulationoflightpropagationb
4、ymeansofperi-thevalidityoftheanalyticaltreatment.odicphotonicstructuresisanimportantscientificidea,whichhasgreatvaluesforpotentialapplicationsinvariousbranchesofengineering.Inparticular,arraysofevanescentlycou-2.Generalpropertiesofdiffractionrelationinpledwaveguidesareuniquestructuresthatexhibit
5、thepecu-binaryGraphenesheetarraysliarproperties.ThelinearandnonlinearpropertiesofuniformThesystemconsistsofN-layergraphenesheets,whichwaveguidearrayshavebeenstudiedtheoreticallyandexper-isshowninFig.1.Thepositionofgraphenesheetsisde-imentally,suchasanomalousdiscretediffraction,Blochos-notedbyxn
6、,wherexn=..., d,0,d,....Thematerialssep-cillations,anddiscretesolitons.[1]Inthelastfewyears,thearatedbygraphenesheetsaredielectricandhavethepermit-investigationofnonuniformwaveguidearrayshasreceivedin-tivityofed.Thegraphenesurfaceconductivitysgismod-creasingattention,sinceamorecomplexengineerin
7、goftheeledbytheKuboformula.Whenthechemicalpotentialofperiodicstructurecanprovidefurtherdegreesoffreedom.Forgraphenemcismuchlargerthantheinteractingphotonen-example,thezigzagwaveguidearrayswereproposedtoob-ergyh¯w,thesurfaceconduct